What is the Greatest Common Factor of 84750 and 84768?

Greatest common factor (GCF) of 84750 and 84768 is 6.

GCF(84750,84768) = 6

We will now calculate the prime factors of 84750 and 84768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84750 and 84768.

How to find the GCF of 84750 and 84768?

We will first find the prime factorization of 84750 and 84768. After we will calculate the factors of 84750 and 84768 and find the biggest common factor number .

Step-1: Prime Factorization of 84750

Prime factors of 84750 are 2, 3, 5, 113. Prime factorization of 84750 in exponential form is:

84750 = 2¹ × 3¹ × 5³ × 113¹

Step-2: Prime Factorization of 84768

Prime factors of 84768 are 2, 3, 883. Prime factorization of 84768 in exponential form is:

84768 = 2⁵ × 3¹ × 883¹

Step-3: Factors of 84750

List of positive integer factors of 84750 that divides 84750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 113, 125, 150, 226, 250, 339, 375, 565, 678, 750, 1130, 1695, 2825, 3390, 5650, 8475, 14125, 16950, 28250, 42375

Step-4: Factors of 84768

List of positive integer factors of 84768 that divides 84750 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 883, 1766, 2649, 3532, 5298, 7064, 10596, 14128, 21192, 28256, 42384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84750 and 84768. The biggest common factor number is the GCF number.
So the greatest common factor 84750 and 84768 is 6.

Also check out the Least Common Multiple of 84750 and 84768